On the asymptotic behaviour of the equation d z / d t = f ( t , z ) with a complex-valued function f

Josef Kalas

Archivum Mathematicum (1981)

  • Volume: 017, Issue: 1, page 11-22
  • ISSN: 0044-8753

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Kalas, Josef. "On the asymptotic behaviour of the equation $dz/dt=f(t,z)$ with a complex-valued function $f$." Archivum Mathematicum 017.1 (1981): 11-22. <http://eudml.org/doc/18045>.

@article{Kalas1981,
author = {Kalas, Josef},
journal = {Archivum Mathematicum},
keywords = {Liapunov function method; Wazewski topological principle},
language = {eng},
number = {1},
pages = {11-22},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the asymptotic behaviour of the equation $dz/dt=f(t,z)$ with a complex-valued function $f$},
url = {http://eudml.org/doc/18045},
volume = {017},
year = {1981},
}

TY - JOUR
AU - Kalas, Josef
TI - On the asymptotic behaviour of the equation $dz/dt=f(t,z)$ with a complex-valued function $f$
JO - Archivum Mathematicum
PY - 1981
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 017
IS - 1
SP - 11
EP - 22
LA - eng
KW - Liapunov function method; Wazewski topological principle
UR - http://eudml.org/doc/18045
ER -

References

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  1. Hartman P., Ordinary Differential Equations, Wiley, New York-London-Sydney 1964. (1964) Zbl0125.32102MR0171038
  2. Kalas J., Asymptotic Behaviour of the Solutions of the Equation d z d t = f ( t , z ) with a Complex-Valued Function f, Proceedings of the Colloquium on Qualitative Theory of Differential Equations, August 1979, Szeged-Hungary, Seria Colloquia Mathematica Societatis János Bolyai & North-Holland Publishing Company, to appear. (1979) MR0680606
  3. [3J Ráb M., Geometrical Approach to the Study of the Riccati Differential Equation with Complex-Valued Coefficients, Journal of Differential Equations 25 (1977), 108--114. (1977) MR0492454
  4. Ráb M., The Riccati Differential Equation with Complex-Valued Coefficients, Czechoslovak Mathematical Journal 20 (1970), 491-503. (1970) MR0268452

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